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<div class="header">
  <div class="headertitle"><div class="title">Poly1d.hpp</div></div>
</div><!--header-->
<div class="contents">
<a href="_poly1d_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span> </div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="preprocessor">#pragma once</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="preprocessor">#include &lt;numeric&gt;</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="preprocessor">#include &lt;string&gt;</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span><span class="preprocessor">#include &lt;type_traits&gt;</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span><span class="preprocessor">#include &lt;utility&gt;</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span> </div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span><span class="preprocessor">#include &quot;<a class="code" href="_dtype_info_8hpp.html">NumCpp/Core/DtypeInfo.hpp</a>&quot;</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span><span class="preprocessor">#include &quot;<a class="code" href="_enums_8hpp.html">NumCpp/Core/Enums.hpp</a>&quot;</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span><span class="preprocessor">#include &quot;<a class="code" href="_error_8hpp.html">NumCpp/Core/Internal/Error.hpp</a>&quot;</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="preprocessor">#include &quot;<a class="code" href="_static_asserts_8hpp.html">NumCpp/Core/Internal/StaticAsserts.hpp</a>&quot;</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span><span class="preprocessor">#include &quot;<a class="code" href="_stl_algorithms_8hpp.html">NumCpp/Core/Internal/StlAlgorithms.hpp</a>&quot;</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span><span class="preprocessor">#include &quot;<a class="code" href="_types_8hpp.html">NumCpp/Core/Types.hpp</a>&quot;</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="preprocessor">#include &quot;<a class="code" href="diagflat_8hpp.html">NumCpp/Functions/diagflat.hpp</a>&quot;</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><span class="preprocessor">#include &quot;<a class="code" href="inv_8hpp.html">NumCpp/Linalg/inv.hpp</a>&quot;</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span><span class="preprocessor">#include &quot;<a class="code" href="_nd_array_8hpp.html">NumCpp/NdArray.hpp</a>&quot;</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span><span class="preprocessor">#include &quot;<a class="code" href="essentially_equal_8hpp.html">NumCpp/Utils/essentiallyEqual.hpp</a>&quot;</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span><span class="preprocessor">#include &quot;<a class="code" href="num2str_8hpp.html">NumCpp/Utils/num2str.hpp</a>&quot;</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span><span class="preprocessor">#include &quot;<a class="code" href="_utils_2power_8hpp.html">NumCpp/Utils/power.hpp</a>&quot;</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacenc_1_1polynomial.html">nc::polynomial</a></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>{</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>    <span class="comment">//================================================================================</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span><span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html">   57</a></span>    <span class="keyword">class </span><a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d</a></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>    {</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>    <span class="keyword">private</span>:</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>        STATIC_ASSERT_ARITHMETIC(dtype);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span> </div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>    <span class="keyword">public</span>:</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a30777a0dd9351cf64f96959dad0d9ba5">   68</a></span><span class="comment"></span>        <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a30777a0dd9351cf64f96959dad0d9ba5">Poly1d</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span> </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a4f7f317a4ecbc855aabd4087e1c1b9a2">   78</a></span><span class="comment"></span>        <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a4f7f317a4ecbc855aabd4087e1c1b9a2">Poly1d</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; inValues, <a class="code hl_enumeration" href="namespacenc.html#a85b85e03c940a6f01f9d77308a255455">IsRoots</a> isRoots = <a class="code hl_enumvalue" href="namespacenc.html#a85b85e03c940a6f01f9d77308a255455ac2f3f489a00553e7a01d369c103c7251">IsRoots::NO</a>)</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>        {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>            <span class="keywordflow">if</span> (inValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">size</a>() &gt; <a class="code hl_class" href="classnc_1_1_dtype_info.html">DtypeInfo&lt;uint8&gt;::max</a>())</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>            {</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span>                <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;can only make a polynomial of order &quot;</span> +</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>                                             <a class="code hl_function" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(<a class="code hl_class" href="classnc_1_1_dtype_info.html">DtypeInfo&lt;uint8&gt;::max</a>()));</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>            }</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span> </div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>            <span class="keywordflow">if</span> (isRoots == <a class="code hl_enumvalue" href="namespacenc.html#a85b85e03c940a6f01f9d77308a255455a7469a286259799e5b37e5db9296f00b3">IsRoots::YES</a>)</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span>            {</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>                coefficients_.push_back(1);</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span>                <span class="keywordflow">for</span> (<span class="keyword">auto</span> value : inValues)</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span>                {</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span>                    <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> coeffs = { -(value), <span class="keyword">static_cast&lt;</span>dtype<span class="keyword">&gt;</span>(1) };</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span>                    *<span class="keyword">this</span> *= <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>(coeffs, <a class="code hl_enumvalue" href="namespacenc.html#a85b85e03c940a6f01f9d77308a255455ac2f3f489a00553e7a01d369c103c7251">IsRoots::NO</a>);</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span>                }</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>            }</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>            <span class="keywordflow">else</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>            {</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>                coefficients_.resize(inValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">size</a>());</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>                <a class="code hl_function" href="namespacenc_1_1stl__algorithms.html#ae62a4e197ec640aacea520220bd27cef">stl_algorithms::copy</a>(inValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#ab57282e02905eeb2a932eeb73983221f">begin</a>(), inValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a153d3032d72c24d233407a351d0f8174">end</a>(), coefficients_.begin());</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>            }</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>        }</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span> </div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#adcbfe7e5fe2ed3b73bc5c81a73ece1cb">  110</a></span><span class="comment"></span>        [[nodiscard]] <span class="keywordtype">double</span> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#adcbfe7e5fe2ed3b73bc5c81a73ece1cb">area</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b)<span class="keyword"> const</span></div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>            <span class="keywordflow">if</span> (a &gt; b)</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>            {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>                <a class="code hl_function" href="namespacenc.html#a39da0502565b913855379ea1439047e1">std::swap</a>(a, b);</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>            }</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span> </div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>            <span class="keyword">auto</span> polyIntegral = <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a36254243c290ca82f43f3e6c8b5b6c10">integ</a>();</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>            <span class="keywordflow">return</span> polyIntegral(b) - polyIntegral(a);</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>        }</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span> </div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span><span class="comment"></span>        <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtypeOut&gt;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a7e31c4af1b8b0bfe211725224ad44d6b">  128</a></span>        <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtypeOut&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a7e31c4af1b8b0bfe211725224ad44d6b">astype</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>            <span class="keyword">auto</span> newCoefficients = <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtypeOut&gt;</a>(1, <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a><span class="keyword">&gt;</span>(coefficients_.size()));</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span> </div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>            <span class="keyword">const</span> <span class="keyword">auto</span> function = [](dtype value) -&gt; dtypeOut { <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span>dtypeOut<span class="keyword">&gt;</span>(value); };</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span> </div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>            <a class="code hl_function" href="namespacenc_1_1stl__algorithms.html#a616d5dabd547326285946d0014361ab4">stl_algorithms::transform</a>(coefficients_.begin(), coefficients_.end(), newCoefficients.begin(), function);</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span> </div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>            <span class="keywordflow">return</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtypeOut&gt;</a>(newCoefficients);</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>        }</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span> </div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#adf75c8dad7d05c35e4364149f87cf693">  145</a></span><span class="comment"></span>        [[nodiscard]] <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#adf75c8dad7d05c35e4364149f87cf693">coefficients</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>            <span class="keyword">auto</span> coefficientsCopy = coefficients_;</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>            <span class="keywordflow">return</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>(coefficientsCopy);</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>        }</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span> </div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#aefda1bab9a8a39f11f8bd74febfaf879">  156</a></span><span class="comment"></span>        [[nodiscard]] <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#aefda1bab9a8a39f11f8bd74febfaf879">deriv</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>            <span class="keyword">const</span> <span class="keyword">auto</span> numCoefficients = <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a><span class="keyword">&gt;</span>(coefficients_.size());</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>            <span class="keywordflow">if</span> (numCoefficients == 0)</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>            {</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span>                <span class="keywordflow">return</span> {};</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>            }</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>            <span class="keywordflow">if</span> (numCoefficients == 1)</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>            {</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>                <span class="keywordflow">return</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>({ 0 });</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>            }</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span> </div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> derivativeCofficients(1, numCoefficients - 1);</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span> </div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> counter = 0;</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>            <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> i = 1; i &lt; numCoefficients; ++i)</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>            {</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>                derivativeCofficients[counter++] = coefficients_[i] * i;</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>            }</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span> </div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>            <span class="keywordflow">return</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>(derivativeCofficients);</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>        }</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span> </div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a2fb68aababcddb6da10c9b1ffc29f727">  186</a></span><span class="comment"></span>        dtype <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a2fb68aababcddb6da10c9b1ffc29f727">eval</a>(dtype xValue) <span class="keyword">const</span> <span class="keyword">noexcept</span></div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>        {</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>            <span class="keywordflow">return</span> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ac82910d648a2a3cfd2301e12907414dd">operator()</a>(xValue);</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>        }</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span> </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a881a194909e80712919e961452a61f8f">  198</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a881a194909e80712919e961452a61f8f">eval</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; xValues) <span class="keyword">const</span> <span class="keyword">noexcept</span></div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>        {</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>            <span class="keywordflow">return</span> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ac82910d648a2a3cfd2301e12907414dd">operator()</a>(xValues);</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>        }</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span> </div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a6a062e1c37f8ed8619997014e36e9658">  211</a></span><span class="comment"></span>        <span class="keyword">static</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;double&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a6a062e1c37f8ed8619997014e36e9658">fit</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; xValues, <span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; yValues, <a class="code hl_typedef" href="namespacenc.html#a9ba5a0aa26753a185985b8273fb9062d">uint8</a> polyOrder)</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span>        {</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>            <span class="keyword">const</span> <span class="keyword">auto</span> numMeasurements = xValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">size</a>();</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span> </div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>            <span class="keywordflow">if</span> (yValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">size</a>() != numMeasurements)</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>            {</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>                <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;Input x and y arrays must be of equal size.&quot;</span>);</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>            }</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span> </div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>            <span class="keywordflow">if</span> (!xValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a344f12e052eeb49cc87e361127386a64">isflat</a>())</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span>            {</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span>                <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;Input x must be a flattened [1, n] or [n, 1] array.&quot;</span>);</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>            }</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span> </div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>            <span class="keywordflow">if</span> (!yValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a344f12e052eeb49cc87e361127386a64">isflat</a>())</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>            {</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>                <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;Input y must be a flattened [n, 1] array.&quot;</span>);</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span>            }</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span> </div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> a(numMeasurements, polyOrder + 1);</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span>            <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> measIdx = 0; measIdx &lt; numMeasurements; ++measIdx)</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>            {</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span>                <span class="keyword">const</span> <span class="keyword">auto</span> xDouble = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(xValues[measIdx]);</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>                <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#a9ba5a0aa26753a185985b8273fb9062d">uint8</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a> = 0; <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a> &lt; a.<a class="code hl_function" href="classnc_1_1_nd_array.html#a3728f39904cebe707a571a2b0451b38d">numCols</a>(); ++<a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>)</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span>                {</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span>                    a(measIdx, <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>) = <a class="code hl_function" href="namespacenc_1_1utils.html#a716a63ef8627c73f6cc4146481fcabdf">utils::power</a>(xDouble, <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>);</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span>                }</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span>            }</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span> </div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> aInv;</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span>            <span class="keywordflow">if</span> (a.<a class="code hl_function" href="classnc_1_1_nd_array.html#a302be17d815b1a4e353e6a2aade581a5">issquare</a>())</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>            {</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>                aInv = <a class="code hl_function" href="namespacenc_1_1linalg.html#a2eeb58d0a34e50e79fcfe59f71c61b4d">linalg::inv</a>(a);</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>            }</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>            <span class="keywordflow">else</span></div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>            {</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>                <span class="comment">// psuedo-inverse</span></div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span>                <span class="keyword">auto</span> aT     = a.<a class="code hl_function" href="classnc_1_1_nd_array.html#a29c62da7ad489f4fc0bc706800820807">transpose</a>();</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>                <span class="keyword">auto</span> aTaInv = <a class="code hl_function" href="namespacenc_1_1linalg.html#a2eeb58d0a34e50e79fcfe59f71c61b4d">linalg::inv</a>(aT.dot(a));</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>                aInv        = aTaInv.<a class="code hl_function" href="classnc_1_1_nd_array.html#a34aa597b3fac40690041518dc3132ccc">dot</a>(aT);</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span>            }</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span> </div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span>            <span class="keyword">auto</span> x = aInv.<a class="code hl_function" href="classnc_1_1_nd_array.html#a34aa597b3fac40690041518dc3132ccc">dot</a>(yValues.template astype&lt;double&gt;());</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>            <span class="keywordflow">return</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;double&gt;</a>(x);</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>        }</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span> </div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a194a8f7ba0dcf3087779fdd37be77df6">  266</a></span><span class="comment"></span>        <span class="keyword">static</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;double&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a194a8f7ba0dcf3087779fdd37be77df6">fit</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; xValues,</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>                                  <span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; yValues,</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>                                  <span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; weights,</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>                                  <a class="code hl_typedef" href="namespacenc.html#a9ba5a0aa26753a185985b8273fb9062d">uint8</a>                 polyOrder)</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>        {</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span>            <span class="keyword">const</span> <span class="keyword">auto</span> numMeasurements = xValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">size</a>();</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span> </div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>            <span class="keywordflow">if</span> (yValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">size</a>() != numMeasurements)</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span>            {</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span>                <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;Input x and y arrays must be of equal size.&quot;</span>);</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno">  276</span>            }</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span> </div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno">  278</span>            <span class="keywordflow">if</span> (weights.<a class="code hl_function" href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">size</a>() != numMeasurements)</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span>            {</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span>                <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;Input x and weights arrays must be of equal size.&quot;</span>);</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno">  281</span>            }</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno">  282</span> </div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno">  283</span>            <span class="keywordflow">if</span> (!xValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a344f12e052eeb49cc87e361127386a64">isflat</a>())</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno">  284</span>            {</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno">  285</span>                <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;Input x must be a flattened [1, n] or [n, 1] array.&quot;</span>);</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span>            }</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno">  287</span> </div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno">  288</span>            <span class="keywordflow">if</span> (!yValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a344f12e052eeb49cc87e361127386a64">isflat</a>())</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno">  289</span>            {</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno">  290</span>                <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;Input y must be a flattened [n, 1] array.&quot;</span>);</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno">  291</span>            }</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno">  292</span> </div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno">  293</span>            <span class="keywordflow">if</span> (!weights.<a class="code hl_function" href="classnc_1_1_nd_array.html#a344f12e052eeb49cc87e361127386a64">isflat</a>())</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno">  294</span>            {</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno">  295</span>                <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;Input weights must be a flattened [1, n] or [n, 1] array.&quot;</span>);</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno">  296</span>            }</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno">  297</span> </div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno">  298</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> a(numMeasurements, polyOrder + 1);</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno">  299</span>            <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> measIdx = 0; measIdx &lt; numMeasurements; ++measIdx)</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno">  300</span>            {</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno">  301</span>                <span class="keyword">const</span> <span class="keyword">auto</span> xDouble = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(xValues[measIdx]);</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno">  302</span>                <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#a9ba5a0aa26753a185985b8273fb9062d">uint8</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a> = 0; <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a> &lt; a.<a class="code hl_function" href="classnc_1_1_nd_array.html#a3728f39904cebe707a571a2b0451b38d">numCols</a>(); ++<a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>)</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno">  303</span>                {</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno">  304</span>                    a(measIdx, <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>) = <a class="code hl_function" href="namespacenc_1_1utils.html#a716a63ef8627c73f6cc4146481fcabdf">utils::power</a>(xDouble, <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>);</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno">  305</span>                }</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno">  306</span>            }</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno">  307</span> </div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno">  308</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> aWeighted(a.<a class="code hl_function" href="classnc_1_1_nd_array.html#a4824e91b22bb46ebc31c9c08de55ef13">shape</a>());</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno">  309</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> yWeighted(yValues.<a class="code hl_function" href="classnc_1_1_nd_array.html#a4824e91b22bb46ebc31c9c08de55ef13">shape</a>());</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno">  310</span> </div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno">  311</span>            <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> measIdx = 0; measIdx &lt; numMeasurements; ++measIdx)</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno">  312</span>            {</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno">  313</span>                <span class="keyword">const</span> <span class="keyword">auto</span> weight = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(weights[measIdx]);</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno">  314</span> </div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno">  315</span>                yWeighted[measIdx] = yValues[measIdx] * weight;</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno">  316</span>                <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#a9ba5a0aa26753a185985b8273fb9062d">uint8</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a> = 0; <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a> &lt; a.<a class="code hl_function" href="classnc_1_1_nd_array.html#a3728f39904cebe707a571a2b0451b38d">numCols</a>(); ++<a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>)</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno">  317</span>                {</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno">  318</span>                    aWeighted(measIdx, <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>) = a(measIdx, <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>) * weight;</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno">  319</span>                }</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno">  320</span>            }</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno">  321</span> </div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno">  322</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> aInv;</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno">  323</span>            <span class="keywordflow">if</span> (aWeighted.<a class="code hl_function" href="classnc_1_1_nd_array.html#a302be17d815b1a4e353e6a2aade581a5">issquare</a>())</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno">  324</span>            {</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno">  325</span>                aInv = <a class="code hl_function" href="namespacenc_1_1linalg.html#a2eeb58d0a34e50e79fcfe59f71c61b4d">linalg::inv</a>(aWeighted);</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno">  326</span>            }</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno">  327</span>            <span class="keywordflow">else</span></div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno">  328</span>            {</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno">  329</span>                <span class="comment">// psuedo-inverse</span></div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno">  330</span>                <span class="keyword">auto</span> aT     = a.<a class="code hl_function" href="classnc_1_1_nd_array.html#a29c62da7ad489f4fc0bc706800820807">transpose</a>();</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno">  331</span>                <span class="keyword">auto</span> aTaInv = <a class="code hl_function" href="namespacenc_1_1linalg.html#a2eeb58d0a34e50e79fcfe59f71c61b4d">linalg::inv</a>(aT.dot(aWeighted));</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno">  332</span>                aInv        = aTaInv.<a class="code hl_function" href="classnc_1_1_nd_array.html#a34aa597b3fac40690041518dc3132ccc">dot</a>(aT);</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno">  333</span>            }</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno">  334</span> </div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno">  335</span>            <span class="keyword">auto</span> x = aInv.<a class="code hl_function" href="classnc_1_1_nd_array.html#a34aa597b3fac40690041518dc3132ccc">dot</a>(yWeighted);</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno">  336</span>            <span class="keywordflow">return</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;double&gt;</a>(x); <span class="comment">// NOLINT(modernize-return-braced-init-list)</span></div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno">  337</span>        }</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno">  338</span> </div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno">  339</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno">  340</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a36254243c290ca82f43f3e6c8b5b6c10">  344</a></span><span class="comment"></span>        [[nodiscard]] <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;double&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a36254243c290ca82f43f3e6c8b5b6c10">integ</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno">  345</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno">  346</span>            <span class="keyword">const</span> <span class="keyword">auto</span> numCoefficients = <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a><span class="keyword">&gt;</span>(coefficients_.size());</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno">  347</span>            <span class="keywordflow">if</span> (numCoefficients == 0)</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno">  348</span>            {</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno">  349</span>                <span class="keywordflow">return</span> {};</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno">  350</span>            }</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno">  351</span> </div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno">  352</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> integralCofficients(1, numCoefficients + 1);</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno">  353</span>            integralCofficients[0] = 0.;</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno">  354</span> </div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno">  355</span>            <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> i = 0; i &lt; numCoefficients; ++i)</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno">  356</span>            {</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno">  357</span>                integralCofficients[i + 1] = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(coefficients_[i]) / <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(i + 1);</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno">  358</span>            }</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno">  359</span> </div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno">  360</span>            <span class="keywordflow">return</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;double&gt;</a>(integralCofficients); <span class="comment">// NOLINT(modernize-return-braced-init-list)</span></div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno">  361</span>        }</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno">  362</span> </div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno">  363</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno">  364</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">  369</a></span><span class="comment"></span>        [[nodiscard]] <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>() const noexcept</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno">  370</span>        {</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno">  371</span>            <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a><span class="keyword">&gt;</span>(coefficients_.size() - 1);</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno">  372</span>        }</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno">  373</span> </div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno">  374</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno">  375</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#ab17f5e0983d6c66a3419cb331d158395">  379</a></span><span class="comment"></span>        <span class="keywordtype">void</span> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab17f5e0983d6c66a3419cb331d158395">print</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno">  380</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno">  381</span>            std::cout &lt;&lt; *<span class="keyword">this</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno">  382</span>        }</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno">  383</span> </div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno">  384</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno">  385</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#aa5c091077a037bab14a1c558ece21435">  390</a></span><span class="comment"></span>        [[nodiscard]] std::string <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#aa5c091077a037bab14a1c558ece21435">str</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno">  391</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno">  392</span>            <span class="keyword">const</span> <span class="keyword">auto</span> numCoeffients = <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a><span class="keyword">&gt;</span>(coefficients_.size());</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno">  393</span> </div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno">  394</span>            std::string repr  = <span class="stringliteral">&quot;Poly1d&lt;&quot;</span>;</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno">  395</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a>      <a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> = 0;</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno">  396</span>            <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; coefficient : coefficients_)</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno">  397</span>            {</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno">  398</span>                <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacenc_1_1utils.html#a963b90e7c9a3b057a924298750ddf74c">utils::essentiallyEqual</a>(coefficient, <span class="keyword">static_cast&lt;</span>dtype<span class="keyword">&gt;</span>(0)))</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno">  399</span>                {</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno">  400</span>                    ++<a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>;</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno">  401</span>                    <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno">  402</span>                }</div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno">  403</span> </div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno">  404</span>                repr += <a class="code hl_function" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(coefficient);</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno">  405</span> </div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno">  406</span>                <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> &gt; 1)</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno">  407</span>                {</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno">  408</span>                    repr += <span class="stringliteral">&quot;x^&quot;</span> + <a class="code hl_function" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(<a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>);</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno">  409</span>                }</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno">  410</span>                <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> == 1)</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno">  411</span>                {</div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno">  412</span>                    repr += <span class="stringliteral">&quot;x&quot;</span>;</div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno">  413</span>                }</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno">  414</span> </div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno">  415</span>                ++<a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>;</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno">  416</span> </div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno">  417</span>                <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> &lt; numCoeffients)</div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno">  418</span>                {</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno">  419</span>                    repr += <span class="stringliteral">&quot; + &quot;</span>;</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno">  420</span>                }</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno">  421</span>            }</div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno">  422</span> </div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno">  423</span>            <span class="keywordflow">return</span> repr + <span class="stringliteral">&quot;&gt;&quot;</span>;</div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno">  424</span>        }</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno">  425</span> </div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno">  426</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno">  427</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#ac82910d648a2a3cfd2301e12907414dd">  433</a></span><span class="comment"></span>        dtype <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ac82910d648a2a3cfd2301e12907414dd">operator()</a>(dtype inValue) <span class="keyword">const</span> <span class="keyword">noexcept</span></div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno">  434</span>        {</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno">  435</span>            <a class="code hl_typedef" href="namespacenc.html#a9ba5a0aa26753a185985b8273fb9062d">uint8</a> <a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> = 0;</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno">  436</span>            <span class="keywordflow">return</span> std::accumulate(coefficients_.begin(),</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno">  437</span>                                   coefficients_.end(),</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno">  438</span>                                   dtype{ 0 },</div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno">  439</span>                                   [&amp;<a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>, inValue](dtype polyValue, <span class="keyword">const</span> <span class="keyword">auto</span>&amp; coefficient) noexcept -&gt; dtype</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno">  440</span>                                   { return polyValue + coefficient * utils::power(inValue, power++); });</div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno">  441</span>        }</div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno">  442</span> </div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno">  443</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno">  444</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a9a5873bc4f595a80ecb4380c1abe9d23">  450</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a9a5873bc4f595a80ecb4380c1abe9d23">operator()</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; xValues) <span class="keyword">const</span> <span class="keyword">noexcept</span></div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno">  451</span>        {</div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno">  452</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> returnArray(xValues.shape());</div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno">  453</span> </div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno">  454</span>            <a class="code hl_function" href="namespacenc_1_1stl__algorithms.html#a616d5dabd547326285946d0014361ab4">stl_algorithms::transform</a>(xValues.begin(),</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno">  455</span>                                      xValues.end(),</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno">  456</span>                                      returnArray.<a class="code hl_function" href="classnc_1_1_nd_array.html#ab57282e02905eeb2a932eeb73983221f">begin</a>(),</div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno">  457</span>                                      [<span class="keyword">this</span>](<span class="keyword">const</span> <span class="keyword">auto</span> xValue) { return this-&gt;operator()(xValue); });</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno">  458</span>            <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno">  459</span>        }</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno">  460</span> </div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno">  461</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno">  462</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a28696fdd89d1c2f32c4a0f899f07ae60">  468</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a28696fdd89d1c2f32c4a0f899f07ae60">operator+</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly)<span class="keyword"> const</span></div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno">  469</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno">  470</span>            <span class="keywordflow">return</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>(*<span class="keyword">this</span>) += inOtherPoly;</div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno">  471</span>        }</div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno">  472</span> </div>
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno">  473</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno">  474</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a8fe067a57f7a064a81eccf4fb7c5a74d">  480</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a8fe067a57f7a064a81eccf4fb7c5a74d">operator+=</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly)</div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno">  481</span>        {</div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno">  482</span>            <span class="keywordflow">if</span> (this-&gt;coefficients_.size() &lt; inOtherPoly.coefficients_.size())</div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno">  483</span>            {</div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno">  484</span>                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; coefficients_.size(); ++i)</div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno">  485</span>                {</div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno">  486</span>                    coefficients_[i] += inOtherPoly.coefficients_[i];</div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno">  487</span>                }</div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno">  488</span>                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = coefficients_.size(); i &lt; inOtherPoly.coefficients_.size(); ++i)</div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno">  489</span>                {</div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno">  490</span>                    coefficients_.push_back(inOtherPoly.coefficients_[i]);</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno">  491</span>                }</div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno">  492</span>            }</div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno">  493</span>            <span class="keywordflow">else</span></div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno">  494</span>            {</div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno">  495</span>                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; inOtherPoly.coefficients_.size(); ++i)</div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno">  496</span>                {</div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno">  497</span>                    coefficients_[i] += inOtherPoly.coefficients_[i];</div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno">  498</span>                }</div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno">  499</span>            }</div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno">  500</span> </div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno">  501</span>            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno">  502</span>        }</div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno">  503</span> </div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno">  504</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno">  505</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a013822c468194720dbc7e70438746fc5">  511</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a013822c468194720dbc7e70438746fc5">operator-</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly)<span class="keyword"> const</span></div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno">  512</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno">  513</span>            <span class="keywordflow">return</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>(*<span class="keyword">this</span>) -= inOtherPoly;</div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno">  514</span>        }</div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno">  515</span> </div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno">  516</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno">  517</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a69e6f1c7698236f2a361b598767a5d38">  523</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a69e6f1c7698236f2a361b598767a5d38">operator-=</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly)</div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno">  524</span>        {</div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno">  525</span>            <span class="keywordflow">if</span> (this-&gt;coefficients_.size() &lt; inOtherPoly.coefficients_.size())</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno">  526</span>            {</div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno">  527</span>                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; coefficients_.size(); ++i)</div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno">  528</span>                {</div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno">  529</span>                    coefficients_[i] -= inOtherPoly.coefficients_[i];</div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno">  530</span>                }</div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno">  531</span>                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = coefficients_.size(); i &lt; inOtherPoly.coefficients_.size(); ++i)</div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno">  532</span>                {</div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno">  533</span>                    coefficients_.push_back(-inOtherPoly.coefficients_[i]);</div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno">  534</span>                }</div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno">  535</span>            }</div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno">  536</span>            <span class="keywordflow">else</span></div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno">  537</span>            {</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno">  538</span>                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; inOtherPoly.coefficients_.size(); ++i)</div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno">  539</span>                {</div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno">  540</span>                    coefficients_[i] -= inOtherPoly.coefficients_[i];</div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno">  541</span>                }</div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno">  542</span>            }</div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno">  543</span> </div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno">  544</span>            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno">  545</span>        }</div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno">  546</span> </div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno">  547</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno">  548</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a0d0536c7341e12fe924e00d0f0f40a05">  554</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a0d0536c7341e12fe924e00d0f0f40a05">operator*</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly)<span class="keyword"> const</span></div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno">  555</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno">  556</span>            <span class="keywordflow">return</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>(*<span class="keyword">this</span>) *= inOtherPoly;</div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno">  557</span>        }</div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno">  558</span> </div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno">  559</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno">  560</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a4060b78a9003acdf231f0cbba5c422ec">  566</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a4060b78a9003acdf231f0cbba5c422ec">operator*=</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly)</div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno">  567</span>        {</div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno">  568</span>            <span class="keyword">const</span> <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a>       finalCoefficientsSize = <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>() + inOtherPoly.<a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>() + 1;</div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno">  569</span>            std::vector&lt;dtype&gt; coeffsA(finalCoefficientsSize, 0);</div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno">  570</span>            std::vector&lt;dtype&gt; coeffsB(finalCoefficientsSize, 0);</div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno">  571</span>            <a class="code hl_function" href="namespacenc_1_1stl__algorithms.html#ae62a4e197ec640aacea520220bd27cef">stl_algorithms::copy</a>(coefficients_.begin(), coefficients_.end(), coeffsA.begin());</div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno">  572</span>            <a class="code hl_function" href="namespacenc_1_1stl__algorithms.html#ae62a4e197ec640aacea520220bd27cef">stl_algorithms::copy</a>(inOtherPoly.coefficients_.cbegin(), inOtherPoly.coefficients_.cend(), coeffsB.begin());</div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno">  573</span> </div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno">  574</span>            <span class="comment">// now multiply out the coefficients</span></div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno">  575</span>            std::vector&lt;dtype&gt; finalCoefficients(finalCoefficientsSize, 0);</div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno">  576</span>            <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> i = 0; i &lt; finalCoefficientsSize; ++i)</div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno">  577</span>            {</div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno">  578</span>                <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> k = 0; k &lt;= i; ++k)</div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno">  579</span>                {</div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno">  580</span>                    finalCoefficients[i] += coeffsA[k] * coeffsB[i - k];</div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno">  581</span>                }</div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno">  582</span>            }</div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno">  583</span> </div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno">  584</span>            this-&gt;coefficients_ = finalCoefficients;</div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno">  585</span>            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno">  586</span>        }</div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno">  587</span> </div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno">  588</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno">  589</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#ab2156e21533f3d21b39dfd351178c0ad">  595</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#ab2156e21533f3d21b39dfd351178c0ad">operator^</a>(<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> inPower)<span class="keyword"> const</span></div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno">  596</span><span class="keyword">        </span>{</div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno">  597</span>            <span class="keywordflow">return</span> <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a30777a0dd9351cf64f96959dad0d9ba5">Poly1d</a>(*<span class="keyword">this</span>) ^= inPower;</div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno">  598</span>        }</div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno">  599</span> </div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno">  600</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno">  601</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a1b995f2dd0a04fcb33345a1232c66e6f">  607</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; <a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#a1b995f2dd0a04fcb33345a1232c66e6f">operator^=</a>(<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> inPower)</div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno">  608</span>        {</div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno">  609</span>            <span class="keywordflow">if</span> (inPower == 0)</div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno">  610</span>            {</div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno">  611</span>                coefficients_.clear();</div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno">  612</span>                coefficients_.push_back(1);</div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno">  613</span>                <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno">  614</span>            }</div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno">  615</span>            <span class="keywordflow">if</span> (inPower == 1)</div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno">  616</span>            {</div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno">  617</span>                <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno">  618</span>            }</div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno">  619</span> </div>
<div class="line"><a id="l00620" name="l00620"></a><span class="lineno">  620</span>            <span class="keyword">auto</span> thisPoly(*<span class="keyword">this</span>);</div>
<div class="line"><a id="l00621" name="l00621"></a><span class="lineno">  621</span>            <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> <a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> = 1; <a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> &lt; inPower; ++<a class="code hl_function" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>)</div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno">  622</span>            {</div>
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno">  623</span>                *<span class="keyword">this</span> *= thisPoly;</div>
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno">  624</span>            }</div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno">  625</span> </div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno">  626</span>            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno">  627</span>        }</div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno">  628</span> </div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno">  629</span>        <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno">  630</span>        <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#adcedc353f4d1f6cbc5e89d37a7b1f6fd">  637</a></span><span class="comment"></span>        <span class="keyword">friend</span> std::ostream&amp; <a class="code hl_friend" href="classnc_1_1polynomial_1_1_poly1d.html#adcedc353f4d1f6cbc5e89d37a7b1f6fd">operator&lt;&lt;</a>(std::ostream&amp; inOStream, <span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inPoly)</div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno">  638</span>        {</div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno">  639</span>            inOStream &lt;&lt; inPoly.<a class="code hl_function" href="classnc_1_1polynomial_1_1_poly1d.html#aa5c091077a037bab14a1c558ece21435">str</a>() &lt;&lt; std::endl;</div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno">  640</span>            <span class="keywordflow">return</span> inOStream;</div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno">  641</span>        }</div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno">  642</span> </div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno">  643</span>    <span class="keyword">private</span>:</div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno">  644</span>        std::vector&lt;dtype&gt; coefficients_{};</div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno">  645</span>    };</div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno">  646</span>} <span class="comment">// namespace nc::polynomial</span></div>
<div class="ttc" id="a_dtype_info_8hpp_html"><div class="ttname"><a href="_dtype_info_8hpp.html">DtypeInfo.hpp</a></div></div>
<div class="ttc" id="a_enums_8hpp_html"><div class="ttname"><a href="_enums_8hpp.html">Enums.hpp</a></div></div>
<div class="ttc" id="a_error_8hpp_html"><div class="ttname"><a href="_error_8hpp.html">Error.hpp</a></div></div>
<div class="ttc" id="a_error_8hpp_html_af2aff1172060367b9c5398fa097fa8fd"><div class="ttname"><a href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a></div><div class="ttdeci">#define THROW_INVALID_ARGUMENT_ERROR(msg)</div><div class="ttdef"><b>Definition:</b> Error.hpp:37</div></div>
<div class="ttc" id="a_nd_array_8hpp_html"><div class="ttname"><a href="_nd_array_8hpp.html">NdArray.hpp</a></div></div>
<div class="ttc" id="a_static_asserts_8hpp_html"><div class="ttname"><a href="_static_asserts_8hpp.html">StaticAsserts.hpp</a></div></div>
<div class="ttc" id="a_stl_algorithms_8hpp_html"><div class="ttname"><a href="_stl_algorithms_8hpp.html">StlAlgorithms.hpp</a></div></div>
<div class="ttc" id="a_types_8hpp_html"><div class="ttname"><a href="_types_8hpp.html">Types.hpp</a></div></div>
<div class="ttc" id="a_utils_2power_8hpp_html"><div class="ttname"><a href="_utils_2power_8hpp.html">power.hpp</a></div></div>
<div class="ttc" id="aclassnc_1_1_dtype_info_html"><div class="ttname"><a href="classnc_1_1_dtype_info.html">nc::DtypeInfo</a></div><div class="ttdoc">Holds info about the dtype.</div><div class="ttdef"><b>Definition:</b> DtypeInfo.hpp:41</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html"><div class="ttname"><a href="classnc_1_1_nd_array.html">nc::NdArray</a></div><div class="ttdoc">Holds 1D and 2D arrays, the main work horse of the NumCpp library.</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:139</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a055875abbe80163ca91328c0fa8ffbfa"><div class="ttname"><a href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">nc::NdArray::size</a></div><div class="ttdeci">size_type size() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:4524</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a153d3032d72c24d233407a351d0f8174"><div class="ttname"><a href="classnc_1_1_nd_array.html#a153d3032d72c24d233407a351d0f8174">nc::NdArray::end</a></div><div class="ttdeci">iterator end() noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:1623</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a29c62da7ad489f4fc0bc706800820807"><div class="ttname"><a href="classnc_1_1_nd_array.html#a29c62da7ad489f4fc0bc706800820807">nc::NdArray::transpose</a></div><div class="ttdeci">self_type transpose() const</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:4882</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a302be17d815b1a4e353e6a2aade581a5"><div class="ttname"><a href="classnc_1_1_nd_array.html#a302be17d815b1a4e353e6a2aade581a5">nc::NdArray::issquare</a></div><div class="ttdeci">bool issquare() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:3009</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a344f12e052eeb49cc87e361127386a64"><div class="ttname"><a href="classnc_1_1_nd_array.html#a344f12e052eeb49cc87e361127386a64">nc::NdArray::isflat</a></div><div class="ttdeci">bool isflat() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:2945</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a34aa597b3fac40690041518dc3132ccc"><div class="ttname"><a href="classnc_1_1_nd_array.html#a34aa597b3fac40690041518dc3132ccc">nc::NdArray::dot</a></div><div class="ttdeci">self_type dot(const self_type &amp;inOtherArray) const</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:2719</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a3728f39904cebe707a571a2b0451b38d"><div class="ttname"><a href="classnc_1_1_nd_array.html#a3728f39904cebe707a571a2b0451b38d">nc::NdArray::numCols</a></div><div class="ttdeci">size_type numCols() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:3465</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a4824e91b22bb46ebc31c9c08de55ef13"><div class="ttname"><a href="classnc_1_1_nd_array.html#a4824e91b22bb46ebc31c9c08de55ef13">nc::NdArray::shape</a></div><div class="ttdeci">const Shape &amp; shape() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:4511</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_ab57282e02905eeb2a932eeb73983221f"><div class="ttname"><a href="classnc_1_1_nd_array.html#ab57282e02905eeb2a932eeb73983221f">nc::NdArray::begin</a></div><div class="ttdeci">iterator begin() noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:1315</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html">nc::polynomial::Poly1d</a></div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:58</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a013822c468194720dbc7e70438746fc5"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a013822c468194720dbc7e70438746fc5">nc::polynomial::Poly1d::operator-</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; operator-(const Poly1d&lt; dtype &gt; &amp;inOtherPoly) const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:511</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a0d0536c7341e12fe924e00d0f0f40a05"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a0d0536c7341e12fe924e00d0f0f40a05">nc::polynomial::Poly1d::operator*</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; operator*(const Poly1d&lt; dtype &gt; &amp;inOtherPoly) const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:554</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a194a8f7ba0dcf3087779fdd37be77df6"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a194a8f7ba0dcf3087779fdd37be77df6">nc::polynomial::Poly1d::fit</a></div><div class="ttdeci">static Poly1d&lt; double &gt; fit(const NdArray&lt; dtype &gt; &amp;xValues, const NdArray&lt; dtype &gt; &amp;yValues, const NdArray&lt; dtype &gt; &amp;weights, uint8 polyOrder)</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:266</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a1b995f2dd0a04fcb33345a1232c66e6f"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a1b995f2dd0a04fcb33345a1232c66e6f">nc::polynomial::Poly1d::operator^=</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; &amp; operator^=(uint32 inPower)</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:607</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a28696fdd89d1c2f32c4a0f899f07ae60"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a28696fdd89d1c2f32c4a0f899f07ae60">nc::polynomial::Poly1d::operator+</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; operator+(const Poly1d&lt; dtype &gt; &amp;inOtherPoly) const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:468</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a2fb68aababcddb6da10c9b1ffc29f727"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a2fb68aababcddb6da10c9b1ffc29f727">nc::polynomial::Poly1d::eval</a></div><div class="ttdeci">dtype eval(dtype xValue) const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:186</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a30777a0dd9351cf64f96959dad0d9ba5"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a30777a0dd9351cf64f96959dad0d9ba5">nc::polynomial::Poly1d::Poly1d</a></div><div class="ttdeci">Poly1d()=default</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a36254243c290ca82f43f3e6c8b5b6c10"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a36254243c290ca82f43f3e6c8b5b6c10">nc::polynomial::Poly1d::integ</a></div><div class="ttdeci">Poly1d&lt; double &gt; integ() const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:344</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a4060b78a9003acdf231f0cbba5c422ec"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a4060b78a9003acdf231f0cbba5c422ec">nc::polynomial::Poly1d::operator*=</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; &amp; operator*=(const Poly1d&lt; dtype &gt; &amp;inOtherPoly)</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:566</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a4f7f317a4ecbc855aabd4087e1c1b9a2"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a4f7f317a4ecbc855aabd4087e1c1b9a2">nc::polynomial::Poly1d::Poly1d</a></div><div class="ttdeci">Poly1d(const NdArray&lt; dtype &gt; &amp;inValues, IsRoots isRoots=IsRoots::NO)</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:78</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a69e6f1c7698236f2a361b598767a5d38"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a69e6f1c7698236f2a361b598767a5d38">nc::polynomial::Poly1d::operator-=</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; &amp; operator-=(const Poly1d&lt; dtype &gt; &amp;inOtherPoly)</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:523</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a6a062e1c37f8ed8619997014e36e9658"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a6a062e1c37f8ed8619997014e36e9658">nc::polynomial::Poly1d::fit</a></div><div class="ttdeci">static Poly1d&lt; double &gt; fit(const NdArray&lt; dtype &gt; &amp;xValues, const NdArray&lt; dtype &gt; &amp;yValues, uint8 polyOrder)</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:211</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a7e31c4af1b8b0bfe211725224ad44d6b"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a7e31c4af1b8b0bfe211725224ad44d6b">nc::polynomial::Poly1d::astype</a></div><div class="ttdeci">Poly1d&lt; dtypeOut &gt; astype() const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:128</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a881a194909e80712919e961452a61f8f"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a881a194909e80712919e961452a61f8f">nc::polynomial::Poly1d::eval</a></div><div class="ttdeci">NdArray&lt; dtype &gt; eval(const NdArray&lt; dtype &gt; &amp;xValues) const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:198</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a8fe067a57f7a064a81eccf4fb7c5a74d"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a8fe067a57f7a064a81eccf4fb7c5a74d">nc::polynomial::Poly1d::operator+=</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; &amp; operator+=(const Poly1d&lt; dtype &gt; &amp;inOtherPoly)</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:480</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_a9a5873bc4f595a80ecb4380c1abe9d23"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a9a5873bc4f595a80ecb4380c1abe9d23">nc::polynomial::Poly1d::operator()</a></div><div class="ttdeci">NdArray&lt; dtype &gt; operator()(const NdArray&lt; dtype &gt; &amp;xValues) const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:450</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_aa5c091077a037bab14a1c558ece21435"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#aa5c091077a037bab14a1c558ece21435">nc::polynomial::Poly1d::str</a></div><div class="ttdeci">std::string str() const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:390</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_ab17f5e0983d6c66a3419cb331d158395"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#ab17f5e0983d6c66a3419cb331d158395">nc::polynomial::Poly1d::print</a></div><div class="ttdeci">void print() const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:379</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_ab2156e21533f3d21b39dfd351178c0ad"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#ab2156e21533f3d21b39dfd351178c0ad">nc::polynomial::Poly1d::operator^</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; operator^(uint32 inPower) const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:595</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_ab978ca2f65c7cd640309c1be86aa9141"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">nc::polynomial::Poly1d::order</a></div><div class="ttdeci">uint32 order() const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:369</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_ac82910d648a2a3cfd2301e12907414dd"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#ac82910d648a2a3cfd2301e12907414dd">nc::polynomial::Poly1d::operator()</a></div><div class="ttdeci">dtype operator()(dtype inValue) const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:433</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_adcbfe7e5fe2ed3b73bc5c81a73ece1cb"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#adcbfe7e5fe2ed3b73bc5c81a73ece1cb">nc::polynomial::Poly1d::area</a></div><div class="ttdeci">double area(double a, double b) const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:110</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_adcedc353f4d1f6cbc5e89d37a7b1f6fd"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#adcedc353f4d1f6cbc5e89d37a7b1f6fd">nc::polynomial::Poly1d::operator&lt;&lt;</a></div><div class="ttdeci">friend std::ostream &amp; operator&lt;&lt;(std::ostream &amp;inOStream, const Poly1d&lt; dtype &gt; &amp;inPoly)</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:637</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_adf75c8dad7d05c35e4364149f87cf693"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#adf75c8dad7d05c35e4364149f87cf693">nc::polynomial::Poly1d::coefficients</a></div><div class="ttdeci">NdArray&lt; dtype &gt; coefficients() const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:145</div></div>
<div class="ttc" id="aclassnc_1_1polynomial_1_1_poly1d_html_aefda1bab9a8a39f11f8bd74febfaf879"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#aefda1bab9a8a39f11f8bd74febfaf879">nc::polynomial::Poly1d::deriv</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; deriv() const</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:156</div></div>
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<div class="ttc" id="anamespacenc_1_1polynomial_html"><div class="ttname"><a href="namespacenc_1_1polynomial.html">nc::polynomial</a></div><div class="ttdef"><b>Definition:</b> chebyshev_t.hpp:39</div></div>
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<div class="ttc" id="anamespacenc_1_1stl__algorithms_html_ae62a4e197ec640aacea520220bd27cef"><div class="ttname"><a href="namespacenc_1_1stl__algorithms.html#ae62a4e197ec640aacea520220bd27cef">nc::stl_algorithms::copy</a></div><div class="ttdeci">OutputIt copy(InputIt first, InputIt last, OutputIt destination) noexcept</div><div class="ttdef"><b>Definition:</b> StlAlgorithms.hpp:97</div></div>
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<div class="ttc" id="anamespacenc_html_a39da0502565b913855379ea1439047e1"><div class="ttname"><a href="namespacenc.html#a39da0502565b913855379ea1439047e1">nc::swap</a></div><div class="ttdeci">void swap(NdArray&lt; dtype &gt; &amp;inArray1, NdArray&lt; dtype &gt; &amp;inArray2) noexcept</div><div class="ttdef"><b>Definition:</b> swap.hpp:42</div></div>
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